X^3+Y^3+3XY-1 因式分解

来源：学生作业帮助网编辑：作业帮时间：2024/04/27 15:59:59

X^3+Y^3+3XY-1 因式分解
X^3+Y^3+3XY-1 因式分解

X^3+Y^3+3XY-1 因式分解
x^3+y^3+3xy-1
=(x+y)^3-3x^2y-3xy^2+3xy-1
=(x+y)^3-3xy(x+y-1)-1
=[(x+y)-1][(x+y)^2+(x+y)+1]-3xy(x+y-1)
=(x+y-1)(x^2+2xy+y^2+x+y+1-3xy)
=(x+y-1)(x^2-xy+y^2+x+y+1)

y^3+xy^2+2xy+x^2-1 因式分解 xy(xy+1)+xy+3-2(x+y+1/2)-(x+y-1)^2因式分解因式分解x^2y^2+x^2y+xy^2+3xy+x+y+1 因式分解 3X^+6XY+3Y^ 因式分解 -x^3y+xy^3 因式分解x^3y-xy^3 因式分解：x^3y减xy^3 因式分解x^2-3xy+y^2 x^2-3xy+y^2因式分解因式分解3x^+4xy-y^ 3x^+4xy-2y^ 因式分解因式分解-X^2+2XY-Y^3 2x²-xy+3x-y+1因式分解因式分解：3xy(x-y)+6y(y-x) x^3+3xy+y^3-1因式分解因式分解X^3+Y^3-3XY+1 X^3+Y^3+3XY-1 因式分解因式分解：x^3+y^3+3xy-1